(0,2) Landau-Ginzburg Models and Residues

Melnikov, Ilarion V.

doi:10.1088/1126-6708/2009/09/118

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(0,2) Landau-Ginzburg Models and Residues

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Melnikov, Ilarion V.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0902.3908v2.pdf
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Melnikov, I. V. (2009). (0,2) Landau-Ginzburg Models and Residues. Journal of high energy physics: JHEP, 2009(09): 118. doi:10.1088/1126-6708/2009/09/118.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-604F-1

Abstract

We study the topological heterotic ring in (0,2) Landau-Ginzburg models without a (2,2) locus. The ring elements correspond to elements of the Koszul cohomology groups associated to a zero-dimensional ideal in a polynomial ring, and the computation of half-twisted genus zero correlators reduces to a map from the first non-trivial Koszul cohomology group to complex numbers. This map is a generalization of the local Grothendieck residue. The results may be applied to computations of Yukawa couplings in a heterotic compactification at a Landau-Ginzburg point.